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Finding the Third Proportional to 341,566.25 and 501,273.75

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Solution

The third proportional to 341,566.25 and 501,273.75 is: 735,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,566.25 : 501,273.75 = 501,273.75 : x
  2. Step 2: Convert to fraction form
    341,566.25/501,273.75 = 501,273.75/x
  3. Step 3: Cross multiply
    341,566.25x = 501,273.75 × 501,273.75
  4. Step 4: Simplify right side
    341,566.25x = 251,275,372,439.06
  5. Step 5: Solve for x
    x = 251,275,372,439.06/341,566.25
  6. Step 6: Final answer
    x = 735,656.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.